On the epistemic foundation for iterated weak dominance: an analysis in a logic of individual and collective attitudes

Emiliano Lorini (1, 2)

1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
2 CNRS - Centre National de la Recherche Scientifique

This paper proposes a logical framework for representing static and dynamic properties of different kinds of individual and collective attitudes. A complete axiomatization as well as a decidability result for the logic are given. The logic is applied to game theory by providing a formal analysis of the epistemic conditions of iterated deletion of weakly dominated strategies (IDWDS), or iterated weak dominance for short. The main difference between the analysis of the epistemic conditions of iterated weak dominance given in this paper and other analysis is that we use a semi-qualitative approach to uncertainty based on the notion of plausibility first introduced by Spohn, whereas other analysis are based on a quantitative representation of uncertainty in terms of probabilities.

Mots clés: Epistemic logic; Epistemic game theory; Belief revision; Iterated weak dominance

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Emiliano Lorini. On the epistemic foundation for iterated weak dominance: an analysis in a logic of individual and collective attitudes. Journal of Philosophical Logic, 2013, 42 (6), pp.863-904. ⟨10.1007/s10992-013-9297-z⟩. ⟨hal-01130395⟩